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Pentacene growth on glas
Pentacene growth on clean Si(001)
The fractal dimension of Pentacene islands
Movie 1: Pentacene growth on glass
Movie 2: Pentacene growth on Si(001)


The Pentacene Project

Figure 1: The Pentacene Molecule


Organic semiconductors have gained a lot of interest during the last years, because of their usability for organic thin film transistor (OTFT) displays.

During the last 15 years, the mobility of electrons in these films, finally determining the speed of the displays, could be increased by more than a factor of 10000. This was achieved by selecting new organic materials (Fig.2). By now, Pentacene, a compound of Carbon and Hydrogen (C22H14) seems to be the most promising material for OTFT displays. A sketch of the molecule is shown in Fig.1. But not only the material chosen influences the final speed of the assembled transistors, but the quality and smoothness of the organic film turns out to be crucial. Pentacene molecules stand up vertical on the substrate, and the crystals they form can be rotated relative to each other by certain angles. Each boundary between two of these crystals forms a barrier for electrons, and therefore decreases the device speed. To understand the crystal growth of pentacene, the shape of the formed crystals, and to find supplementals that help to grow smooth and homogeneous pentacene films, a LEEM and PEEM study on the Pentacene growth on various surfaces was performed.


   

Figure 2: Development of electron mobility in organic transistors over time.

After: Dimitrakopoulos et al. J. Appl. Phys.,80, 2501 (1996)

Pentacene growth on glass

For display applications it is desirable, to grow thin and smooth pentacene films on a glass substrate. However, since glass is an insulating material, it appears difficult to investigate on the pentacene growth on glass with LEEM or PEEM. Usage of oxidized Si wafers provides a solution to this problem. The conductivity of  a few nm thick layer of thermally grown SiO2 is high enough to allow a LEEM study, and the quality of the glass layer is high enough to investigate on the pentacene film quality. Movie 1 shows an example of Pentacene growth on such a surface. The field of view in this PEEM movie is 65µm. Pentacene reacts  very sensitive to the UV light illumination, which is necessary for PEEM. Therefore images were taken only every minute, and the lamp was turned off during the remaining time. The time laps shown here was afterwards assembled from the still images. 

Initially no contrast is visible in the movie - the clean glass surface appears homogeneously dark. After several minutes, first pentacene islands appear. These islands are extremely small, and with further deposition tend to gain height and grow in the third dimension. This results in a rough film with a huge number of grain boundaries between the crystals and a poor film quality if one thinks of device applications.  

The question is, though, whether the growth of a poor film is related to the properties of the pentacene (that does not want to grow as a smooth layer), or whether glass does not provide a suitable substrate for pentacene film growth. 

Pentacene growth on clean Si(001)

In order to solve  this question, it appears promising, to perform a growth study on a clean Si surface. The preparation of clean Silicon is well known, and an atomically clean surface of the size of several mm can be routinely achieved. While the experimental parameters of
Movie 2 are identical to the glass case (PEEM, field of view 65µm, images every minute), the results are very different.

Initially no contrast is visible in the movie, and the silicon surface appears as a homogeneous gray area.  After several minutes of deposition, Si crystals are formed, and grow slowly into the field of view. Compared to the glass case, the pentacene islands are huge, with a size of more than 30µm. But, even more interesting, the shape of the islands is changed into a fractal landscape.

Compared to the glass movie, where 3 dimensional growth took place at defects,  here a nice layer by layer growth is visible and allows an observation of the electronic (band) structure of the film.

First Layer:
The pentacene layer appears brighter than the silicon substrate. The number of electrons available for excitation by the mercury light is higher in the first pentacene layer than it is in the silicon "bulk" crystal.
Second Layer:
The second layer is still brighter than the silicon substrate, but is darker than the first layer. This means, that the electronic structure from the first to the second layer is changed in a way, that fewer electrons can be excited by the mercury light.
Third Layer:
The third layer is darker than the first and second layer, but the contrast is weaker. With increasing film thickness, the electronic properties of the band structure develop towards the expected properties for the perfect bulk pentacene single crystal.

The fractal dimension of Pentacene islands

The fractal shape visible in the last movie leads to the question, why the islands have this shape, and if the shape is universal and independent of growth rate,  substrate and growth temperature. A criterion for the analysis is the so called "fractal dimension".

The fractal dimension describes the relation between the perimeter of an object and its area. For example, a road would have the fractal dimension d=1, since it is a one dimensional object. The surface of a little round pond would have the fractal dimension d=2, since it is a simple surface. The fractal dimension of a simple building, like here the Empire State Building in Manhattan, would have a  fractal dimension of d=3.




Figure 3: The fractal dimension of
pentacene islands during growth
  Most objects, however, have a dimension that is between 1 and 2 or 2 and 3, because they are assembled from surfaces, cubes and lines. Clouds, for instance, have a fractal dimension of 1.36 (independent of their size). What fractal dimension could one expect for the pentacene islands? To answer this question, a fractal analysis of the average island shape during deposition was performed for several experiments and under several different experimental conditions, and the coverage dependent fractal dimension was plotted. For small islands it appears difficult, to estimate the dimension by box counting, therefore the fractal dimension tends to be d=0 (one atom) or d=1 (linear chain of atoms). When the islands have a certain size, the fractal dimension remains constant for a while with a dimension of d=1.7.

This value agrees well with results from diffusion limited aggregation (DLA). DLA describes the case, where atoms diffuse on a surface and stick to any existing island, without further diffusion. Details and interactive simulations for DLA can be found on several places in the WWW. In the case of classical DLA, the fractal dimension remains forever constant. This cannot be true for pentacene layer by layer growth. A closed layer of pentacene, of course, has the dimension d=2, so with  coarsening of the pentacene islands, the fractal dimension changes from d=1.7 to d=2.

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